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Finding the Fourth Proportional to 973.85, 1,344.06 and 554.22

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Solution

The fourth proportional to 973.85, 1,344.06 and 554.22 is: 764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.85 : 1,344.06 = 554.22 : x
  2. Step 2: Convert to fraction form
    973.85/1,344.06 = 554.22/x
  3. Step 3: Cross multiply
    973.85x = 1,344.06 × 554.22
  4. Step 4: Simplify right side
    973.85x = 744,904.93
  5. Step 5: Solve for x
    x = 744,904.93/973.85
  6. Step 6: Final answer
    x = 764.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.